The conditions that identify an NP type are: 1) absence of trait A, and 2) presence of trait P. The third condition, presence of trait N is not indepencent, but follows from the entanglement of trait N with A.
As the Table shows, the preponderance of NP types in the Case group would engender Case-control differences in all three NPA traits in most habitancies. The differences in N trait are due to entanglement. If the genes for oxytocin/Vit D receptors are unrelated to the NP type or to the NPA loci, then that could explain the lack of association that the study found.
However, if the genes for oxytocin/Vit D receptors are indeed related to the NP type, but the study was conducted in a Punctilious habitancy, then the delta values in Table 13 show that the association would be barely perceptible (because the control group in a Puctilious habitancy would have almost all NP types).